Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If x/4 = 6/8, what is x?

Back

x = 3.

Front

What is the first step in solving x/4 = 6/8?

Back

Cross-multiply to get 8x = 24.

Front

What is the solution to the proportion 2/3 = x/12?

Back

x = 8.

Front

If 5/x = 10/20, what is x?

Back

x = 10.

Front

What is the value of x in the proportion 3/x = 9/12?

Back

x = 4.

Front

How can you check if two ratios are proportional?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.